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132350400000 = 293255713101
BaseRepresentation
bin111101101000010110…
…0101101011000000000
3110122121201121221021200
41323100230231120000
54132023200300000
6140445000221200
712363523560330
oct1732054553000
9418551557250
10132350400000
1151147394475
1221797a6a800
13c632b15170
1465976d70c0
15369938d500
hex1ed0b2d600

132350400000 has 1440 divisors, whose sum is σ = 593429893056. Its totient is φ = 27648000000.

The previous prime is 132350399983. The next prime is 132350400097. The reversal of 132350400000 is 4053231.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1310399950 + ... + 1310400050.

Almost surely, 2132350400000 is an apocalyptic number.

132350400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296714946528).

132350400000 is an abundant number, since it is smaller than the sum of its proper divisors (461079493056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132350400000 is an equidigital number, since it uses as much as digits as its factorization.

132350400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 132350400000 its reverse (4053231), we get a palindrome (132354453231).

The spelling of 132350400000 in words is "one hundred thirty-two billion, three hundred fifty million, four hundred thousand".